Scalar boson stars and Dirac are solitonic solutions of the Einstein{Klein-Gordon Einstein- classical equations, respectively. Despite different bosonic vs: fermionic nature matter field, these to field equations have been shown qualitatively similar features [1]. In particular, for spinning most fundamental configurations can be in both cases toroidal, unlike Proca that spheroidal [2]. this pa...

A bstract S -matrix elements are invariant under field redefinitions of the Lagrangian. They determined by geometric quantities such as curvature field-space manifold scalar and gauge fields. We present a formalism where fields treated together, with metric on combined space both types Scalar scattering amplitudes given Riemann R ijkl this space, indices i , j k l chosen to be or depending type...

We analyze the group-theoretical ramifications of the Nambu-Goldstone [NG] theorem in the self-consistent relativistic variational Gaussian wave functional approximation to spinless field theories. In an illustrative example we show how the Nambu-Goldstone theorem would work in the O(N) symmetric φ4 scalar field theory, if the residual symmetry of the vacuum were lesser than O(N-1), e.g. if the...

The normalization of the boundary superstring field theory action is determined by computing the near on-shell amplitude involving three gauge fields. Contribution to the proceedings of Strings 2001, Mumbai, India. [email protected] formerly Mehta Reasearch Institute of Mathematics & Mathematical Physics. In the recent past there has been some progress in understanding the behaviour of the t...

Abstract Lorentz-invariant scalar field theories in d+1 dimensions with second-order derivative terms are unable to support static soliton solutions that are both finite in energy and stable for d > 2, a result known as Derrick’s theorem. Lifshitz theories, which introduce higher-order spatial derivatives, need not obey Derrick’s theorem. We construct stable, finite-energy, static soliton solut...

We demonstrate that the technique of abelian bosonization through duality transformations can be extended to gauging anomalous symmetries. The example of a Dirac fermion theory is first illustrated. This idea is then also applied to bosonize a chiral fermion by gauging its chiral phase symmetry. Two dimensional field theory has long proven to be a fruitful area of investigation. An interesting ...